Answer: 4.87 x 10^9 is greater than 9.212 *10^8
Step-by-step explanation:
4.87 x 10^9 is greater than 9.212 *10^8 because it has the greater exponent.
4.87 * 10^9 = 4,870,000,000
9.212 *10^8= 921,200,000
4,870,000,000 > 921,200,000
Answer: She started with $160.
It will take 6 weeks before she has less than half of what she originally invested.
Step-by-step explanation:
If her money is decreasing in value by 11% each week, it means that the rate at which it is decreasing is exponential.
We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^t
Where
A represents the value of the investment after t weeks.
t represents the number of weeks.
P represents the initial value of the investment.
r represents rate of depreciation.
From the information given,
A = $142.40
r = 11% = 11/100 = 0.11
t = 1
Therefore
142.40 = P(1 - 0.11)^1
142.40 = P(0.89)
P = 142.4/0.89
P = 160
For her to have half of what she invested originally, then
80 = 160(0.89)^t
80/160 = (0.89)^t
0.5 = (0.89)^t
Taking log of both sides to base 10
Log 0.5 = log0.89^t = tlog0.89
- 0.3010 = - 0.051t
t = - 0.3010/- 0.051
t = 5.9
Approximately 6 weeks
Answer: At midnight, the temperature was 43.7 degrees above 0, and in the morning, it was 3.6 degrees below 0
HOPE THIS HELPS
Answer:
69 degree
Step-by-step explanation:
Using cosine formula again :))
So we have
BC^2 = AB^2 + AC^2 - 2*AB*AC*cosA
BC^2 = 32^2 + 28^2 -2*28*32*cos56
BC = 28.3884 cm
So B:
AC^2 = AB^2 + BC^2 - 2*AB*BC*cosB
CosB=0.3559
B=69.14 degree
The congruency statement that describes the figure is: D. ΔRST ≅ ΔBAC.
<h3>What is a Congruency Statement?</h3>
A congruency statement is a statement that states that two triangles are congruent to each other.
180 degrees rotation around the origin will give us the rule: (x, y) → (-x, -y)
Therefore, applying this rule to triangle RST that was rotated, we would have:
R'(-1, -1)
S'(-3, -4)
T'(-5, 0)
Translating R'S'T' 3 units up, using the rule, (x, y + 3) will give us:
B(-1, 2)
A(-3, -1)
C(-5, 3)
Therefore, we can conclude that, D. ΔRST ≅ ΔBAC.
Learn more about congruency statement on:
brainly.com/question/1675117
#SPJ1